Numerical results are presented for the damping of the phonon excitations in a Heisenberg ferromagnet for temperatures up to half the Curie temperature and across the whole Brillouin zone. The results are based on the diagrammatic theory of the influence of spin‐phonon interactions in general spin Heisenberg magnets, recently reported by the authors. The results identify four different situations that can be classified according to the ratio &xgr; =cj/(J+a), wherecjis the phonon velocity,J+the transverse exchange interaction, andaa lattice spacing. These are the high‐J+region with &xgr;≪1; the equal‐J+region, 1≲&xgr;≲2.5; the mid‐J+region, 2.5≲&xgr;<2&sqrt;3, and the low‐J+region with &xgr; ≳2&sqrt;3. A number of features of the phonon damping are observed. The most interesting being the sharp peak in the equal‐J+region arising from the scattering by acoustic spin waves, the rich directional dependence in the mid‐J+region, and the sharp spike just above the onset of the phonon damping in the low‐J+region.